GCF of 1167/635, 8509/6753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1167/635, 8509/6753 i.e 1/4288155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1167/635, 8509/6753.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1167/635,8509/6753?
Given fractions are 1167/635,8509/6753
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1167/635,8509/6753, numerators are 1167,8509
Denominators are 635,6753
The GCF of 1167,8509 is 1 .
LCM of 635,6753 is 4288155.
The greatest common factor of 1167/635,8509/6753 = [GCF of 1167,8509]/[LCM of 635,6753]= 1/4288155
Therefore, the GCF of 1167/635,8509/6753 is 1/4288155.
To find the highest common factor of 1167,8509, we have to find the factors of both numbers and list the highest common factor.
The factors of 1167 are 1, 3, 389, 1167
The factors of 8509 are 1, 67, 127, 8509
The HCF of 1167,8509 is 1.
Lets's calculate GCF of 1167,8509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1167,8509 By Matching Biggest Common Factor Method
Now, list down the factors of 1167
:1,3,389,1167
Now, list down the factors of 8509
:1,67,127,8509
Greatest Common Factor
We found the factors 1167,8509 . The biggest common factor number is the GCF number.
So the greatest common factor 1167,8509 is 1.
Lets's calculate LCM of 635,6753
Given numbers has no common factors except 1. So, there LCM is their product i.e 4288155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4288155
Therefore, the GCF of Fractions 1167/635,8509/6753 is 1/4288155
Least Common Multiple of 635,6753 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 635,6753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,6753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,6753) x common factors =1 x 1 = 1
LCM(635,6753) = ( 635 × 6753 ) / 1
LCM(635,6753) = 4288155 / 1
LCM(635,6753) = 4288155
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FAQs on GCF of Fractions of 1167/635, 8509/6753
1. What is the HCF of 1167,8509?
The HCF of 1167,8509 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1167/635, 8509/6753?
Answer: GCF of Numerators as per given numbers 1167/635, 8509/6753 is
GCF of Numerators i.e. for 1167,8509 is 1
LCM of denominators i.e. for 635,6753 is 4288155.
Thus, GCF of Fractions is 1/4288155.Finally, GCF of Fractions for 1167/635, 8509/6753 is 1/4288155.